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Pseudo equality algebras -- revision

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F16%3A33161652" target="_blank" >RIV/61989592:15310/16:33161652 - isvavai.cz</a>

  • Result on the web

    <a href="http://link.springer.com/article/10.1007%2Fs00500-015-1888-x" target="_blank" >http://link.springer.com/article/10.1007%2Fs00500-015-1888-x</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1007/s00500-015-1888-x" target="_blank" >10.1007/s00500-015-1888-x</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Pseudo equality algebras -- revision

  • Original language description

    Recently Jenei introduced a new structure called equality algebras which is inspired by ideas of BCK-algebras with meet. These algebras were generalized by Jenei and Krdi to pseudo equality algebras which are aimed to find a connection with pseudo BCK-algebras with meet. We show that such pseudo equality algebras are an equality algebras. Therefore, we define a new type of algebras, called JK-algebras, which more precisely reflects the relation to pseudo BCK-algebras with meet in the sense of KabziA"ski and WroA"ski. We describe congruences via normal closed deductive systems, and we show that the variety of JK-algebras is subtractive, congruence distributive and congruence permutable.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

    <a href="/en/project/GA15-15286S" target="_blank" >GA15-15286S: Algebraic, many-valued and quantum structures for uncertainty modelling</a><br>

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Others

  • Publication year

    2016

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    Soft Computing: a fusion of foundations, methodologies and applications

  • ISSN

    1432-7643

  • e-ISSN

  • Volume of the periodical

    20

  • Issue of the periodical within the volume

    6

  • Country of publishing house

    DE - GERMANY

  • Number of pages

    11

  • Pages from-to

    2091-2101

  • UT code for WoS article

    000376103900001

  • EID of the result in the Scopus database